Solve the Equation:

5x- 17 - (8x + 3) = 14

SHOW YOUR WORK

Given:

For the kiddie teacup ride at a carnival a person needs to be over 36 inches and at most 60 inches tall.

To find:

The inequality that describes all the heights that are eligible to ride.

Solution:

Let h represents the heights that are eligible to ride.

For the kiddie teacup ride at a carnival a person needs to be over 36 inches. It means, height should be greater than 36 inches.

[tex]h>36[/tex]       ...(i)

For the kiddie teacup ride at a carnival a person needs to be at most 60 inches tall.

[tex]h\leq 60[/tex]       ...(ii)

Using (i) and (ii), we get

[tex]36<h\leq 60[/tex]

Therefore, the required inequality is [tex]36<h\leq 60[/tex].

Answer:

[tex] y = -65x + 420 [/tex]

Step-by-step explanation:

Slope-intercept form equation is given as [tex] y = mx + b [/tex]

Where,

y = distance remaining

x = hours driven

m = slope/constant rate. In this case, the value of m would be -65. This means the distance will reduce at a constant rate of 65 miles per hour.

b = y-intercept, which is the initial value or the distance between the cities = 420

Plug in the values into the slope-intercept equation, to represent the distance y in miles remaining after driving x hours. You would have:

[tex] y = -65x + 420 [/tex]

The equation in slope intercept form is [tex]y =-65x + 420[/tex]

A linear function is a function whose value changes at a constant rate.

The given parameters are:

A linear function is represented as:

[tex]y = mx + c[/tex]

Where

So, the function becomes

[tex]y =-65x + 420[/tex]

Hence, the equation in slope intercept form is [tex]y =-65x + 420[/tex]

Read more about linear functions at:

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Answer:

x=15 in.

Step-by-step explanation:

If the parallelograms are equal (I assume they are), then the ratios are the same. 12 is 3/4 of 16. 3/4 of 20 is 15.

Answer:

2.438

Step-by-step explanation:

1=0.305m

x=8m

( do cross multiplication)

8=0.305x

x=2.438 or 2.44

Answer:

sry

"j3ewqdusifqj43we0q9d8uq-idw30oasc[k-0q239ifk09eqwi,dci-0kew-f328rufj34uewdcm3riy4hg0n38ry2vn7

Answer:

A = 18 and B = -15

Explanation:

Answer:

9.9inches

Step-by-step explanation:

From the attachment, the opposite side is debited as "x" while the Hypotenuse is 10.9inches, we can find the third side by using trigonometry

From trigonometry, Sin(x)= opposite/Hypotenuse

Sin(65)=X/10.9

X= Sin(65) ×10.9

X=0.9063×10.9

=9.8688

Hence the third side of the triangle is approximately 9.9inches

CHECK THE ATTACHMENT FOR THE TRIANGLE

Answer:

x=6

Step-by-step explanation:

Line ZW and YX are parallel, which means they have the same measurements.

Therefore:

3x+2=20

subtract two from both sides

3x=18

divide by 3

3x/3=18/3

x=6

hope this helps =D

Step-by-step explanation:

90% x $60000 = $54000

Topic: percentage

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

4.9/6.3= .777777... , a simplified fraction form of this would be 7/9.

Step-by-step explanation:

Fraction 7/9 of the flagpole is above the ground

If a flagpole 6.3m long is driven 1.4m into the ground, then the fraction of the pole that is above the ground is 6.3m - 1.4m = 4.9m / 6.3m = 49/63 = 7/9.

To calculate the fraction of the pole that is above the ground, we need to subtract the length of the part of the pole that is driven into the ground from the total length of the pole. This gives us 4.9m. We then divide this length by the total length of the pole to get the fraction 7/9.

In other words, 7/9 of the flagpole is above the ground. This means that if we cut the flagpole into 9 equal pieces, 7 of those pieces would be above the ground and 2 of those pieces would be below the ground.

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Step-by-step explanation:

3x^2

is the greatest common factor

Answer:

31 degrees and 26 degrees

Step-by-step explanation:

Every triangles' angles equals 180 degrees.

180 - 82 - 67 = 31

180 - 80 - 74 = 26

Answer:

$50

Step-by-step explanation:

Step one:

charges per hour= $60

We are told that the electrician earned $350

for a job that took 5hours

The linear equation to represent his earnings is

let the flat fee be x

C=60t+x------------1

so for C=$350

Required

the flat fee

350=60(5)+x

350=300+x

collect like terms

x=350-300

x=50

Flat fee is $50

Answer: C=60t+50

Step-by-step explanation:

$60 an hour,

5 hours before the fixed fee is only $300

but the amount he made for a 5 hour house call was $350,

making the fixed fee $50

The value of z₂ - z₁ is -7 -8√(8i). And the second option is correct.

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here, given that two expressions,

[tex]z_1=9+9\sqrt{3i}\\z_2=2+\sqrt{3i}[/tex]

To find the z₂ - z₁:

So,

[tex]z_2-z_1\\\\=2+\sqrt{3i}-(9+9\sqrt{3i})\\\\=2+\sqrt{3i}-9-9\sqrt{3i}\\\\=-7-8\sqrt{8i}[/tex]

The value of the equation, z₂ - z₁ =  -7 -8√(8i)

Hence, the second option z₂ - z₁ = -7 -8√(8i) is correct.

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Answer:

B is the answer, just took the test

Step-by-step explanation:

Answer:

4-pound bag

Step-by-step explanation:

7.40/5 = 1.48

5.48/4 = 1.37

$1.37 is cheaper

Answer:

-11b + 7 = 40

Subtract 7 on both sides

-11b = 33

Divide by -11

b = -3

but if b=0 b is already solved unless you meant b=x

Answer:

x= first number y= second

x=2y+9 and x+y=129, these are the equations...solving gives x=89,y=40

Step-by-step explanation:

Answer:

-18 and -9 is the answer

Answer:

Suppose that G(X) = F(x+ 9). Which statement best compares the graph of

G(X) with the graph of F(x)?

O A. The graph of G(X) is the graph of F(x) shifted 9 units try the left.

B. The graph of G(x) is the graph of F(X) shifted 9 units down.

C. The graph of G(x) is the graph of F(x) shifted 9 units up.

D. The graph of G(X) is the graph of F(x) shifted 9 units to the right.

Step-by-step explanation:

Suppose that G(X) = F(x+ 9). Which statement best compares the graph of

G(X) with the graph of F(x)?

O A. The graph of G(X) is the graph of F(x) shifted 9 units try the left.

B. The graph of G(x) is the graph of F(X) shifted 9 units down.

C. The graph of G(x) is the graph of F(x) shifted 9 units up.

D. The graph of G(X) is the graph of F(x) shifted 9 units to the right.

Answer:

120

Step-by-step explanation:

to get 1/8 of the total students, do 320 divided by 8[40].

3/8 is 1/8 x 3 so 40x3 = 120

Answer:

Now Substitute values

[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]

[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]

[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]

Step-by-step explanation:

Side AB and Side BC are the same so we can make them equal to each other:

3x -4 = 5x -10

Subtract 3x from both sides.

-4 = 2x -10

Add 10 to both sides.

6 = 2x

Divide both sides by 2

3 = x

x = 3

Now substitute x in the expression

3x -4

3(3) -4

PEMDAS

9 - 4

Subtract

5

Answer:

the graph is correct. the equation would be y=3/2x+3

Step-by-step explanation:

Answer:

You're right

Step-by-step explanation:

Khan

Answer:

3.1 × 10^5

Step-by-step explanation:

8.37 ÷ 2.7= 3.1 when you divide you subtract the exponents

Answer:

use www. desmos. com lol

Step-by-step explanation:

Answer: $3 : $4 or 3 : 4

Step-by-step explanation: To find the ratio of the cost of lemon juice in salad dressing, you’ll have to replace $13.50 or 13.5 to (135/10), which doesn’t affect the solution. Next, simplify (135/10) to get 27/2. After, divide 27/2 by 18, which is the other part of the ratio. (27/2 ÷ 18) Your final answer or result should end up as 3/4 but since we’re dealing with fractions 3:4, which is the simplified form of $13.50 : $18.00.

Answer:

-16

Step-by-step explanation

g(-4)=5(-4)+4

g(-4)= -20+4

g(-4)= -16

Answer:-16

Step-by-step explanation: Desmos

Answer: this table shows a relationship between the number of Popsicles sold in the month of money earned by is a popsicle owner. Is the number of money earned in dollars proportional to the number of Popsicles sold? explain why or why not.

Step-by-step explanation:

Answer:

$16

Step-by-step explanation:

Let his weekly allowance = x

Amount spent playing golf = x / 2

Amount earned for cleaning car = $4

Final amount at hand = $12

Mathematically ;

x/2 + 4 = 12

x/2 = 12 - 4

x/2 = 8

x = 2 * 8

x = $16

Weekly allowance = $16

Answer:

x=9

Step-by-step explanation:

62=8x-10

8x=72

x=9